The parts cannon, is a tempting weapon.
I have succumb to its wiles on occasion.
I would suggest that since you heard a “click”, it is probably not a “safety switch”.
When my safety switchs act up (or are engaged) I get nothing…..no click, so sounds, no nothing except lights on the dash.
Start with the basics and don’t skip steps….I have never worked on a B tractor but here is a “off the top of my head” checklist.
1. Visual inspection for any “green” or broken connections.
1a. Check all grounds.
2. check all fuses, fusable links, or breakers with a meter.
3. Check the wiring with a meter.
4. load testing may be in order, because corroded wiring will pass a “continuity test”, but fail a “load test"
If you can’t find anything, then personally, I would jump that solenoid and see if it cranks. (use caution so that you don't get ‘run over')
Get a manual and it should be more specific on a “no start. no crank” problem.
I’m sure a “electrical guru” will be along shortly to point out my mistakes though….
EDIT: Forgot to add my “funny" parts cannon meme.